Difficulty: Easy
Correct Answer: 0.375 & 0.1
Explanation:
Introduction / Context:
This question asks you to convert two simple fractions into their decimal forms. Such conversions are useful when adding or comparing quantities that are given in different formats, like fractions and decimals.
Given Data / Assumptions:
Concept / Approach:
From earlier problems we know the decimal form of 3/8. For 1/10, the conversion is especially straightforward because the denominator is already a power of 10. We convert each fraction separately and then match the pair with the correct option.
Step-by-Step Solution:
Step 1: Convert 3/8 to decimal. From a previous question, 3/8 = 0.375.
Step 2: Convert 1/10 to decimal. Since 1/10 means one tenth, its decimal form is 0.1.
Step 3: Therefore the correct decimal pair is 0.375 and 0.1.
Step 4: Look at the options and find the pair that matches 0.375 and 0.1 in this order.
Verification / Alternative check:
Verify 3/8 by division: 3 ÷ 8 gives 0.375. Verify 1/10 by noting that dividing 1 by 10 moves the decimal point one place to the left, giving 0.1. Both values are standard and appear in many tables of fractions and decimals. Hence, the pair 0.375 and 0.1 is confirmed as correct.
Why Other Options Are Wrong:
1.375 and 1 are much larger values; 3/8 is less than 1, so 1.375 cannot be correct.
0.375 and 1 assigns 1 as the decimal for 1/10, which is incorrect.
13.75 and 1.1 are far greater than the actual decimal values and do not correspond to 3/8 and 1/10.
Common Pitfalls:
Learners sometimes treat 1/10 as 10 or as 1.0 instead of 0.1. Another issue is confusing 3/8 with 1/8 or 5/8 and using the corresponding decimals incorrectly. Always remember that a fraction less than 1 must convert to a decimal less than 1, and denominators that are powers of 10 convert especially easily.
Final Answer:
The decimal forms are 0.375 and 0.1 for 3/8 and 1/10 respectively.
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